Simplify the Radical Expression square root of 5/(3b)

$\sqrt[2]{\frac{5}{3 b}}$

Rewrite $\sqrt[2]{\frac{5}{3 b}}$ as $\frac{\sqrt{5}}{\sqrt{3 b}}$ .

$\frac{\sqrt{5}}{\sqrt{3 b}}$

Multiply $\frac{\sqrt{5}}{\sqrt{3 b}}$ by $\frac{\sqrt{3 b}}{\sqrt{3 b}}$ .

$\frac{\sqrt{5}}{\sqrt{3 b}} \cdot \frac{\sqrt{3 b}}{\sqrt{3 b}}$

Combine and simplify the denominator.

Multiply $\frac{\sqrt{5}}{\sqrt{3 b}}$ by $\frac{\sqrt{3 b}}{\sqrt{3 b}}$ .

$\frac{\sqrt{5} \sqrt{3 b}}{\sqrt{3 b} \sqrt{3 b}}$

Raise $\sqrt{3 b}$ to the power of $1$ .

$\frac{\sqrt{5} \sqrt{3 b}}{{\sqrt{3 b}}^{1} \sqrt{3 b}}$

Raise $\sqrt{3 b}$ to the power of $1$ .

$\frac{\sqrt{5} \sqrt{3 b}}{{\sqrt{3 b}}^{1} {\sqrt{3 b}}^{1}}$

Use the power rule $a^{m} a^{n} = a^{m + n}$ to combine exponents.

$\frac{\sqrt{5} \sqrt{3 b}}{{\sqrt{3 b}}^{1 + 1}}$

Add $1$ and $1$ .

$\frac{\sqrt{5} \sqrt{3 b}}{{\sqrt{3 b}}^{2}}$

Rewrite ${\sqrt{3 b}}^{2}$ as $3 b$ .

Use $\sqrt[n]{a^{x}} = a^{\frac{x}{n}}$ to rewrite $\sqrt{3 b}$ as ${(3 b)}^{\frac{1}{2}}$ .

$\frac{\sqrt{5} \sqrt{3 b}}{{({(3 b)}^{\frac{1}{2}})}^{2}}$

Apply the power rule and multiply exponents, ${(a^{m})}^{n} = a^{m n}$ .

$\frac{\sqrt{5} \sqrt{3 b}}{{(3 b)}^{\frac{1}{2} \cdot 2}}$

Combine $\frac{1}{2}$ and $2$ .

$\frac{\sqrt{5} \sqrt{3 b}}{{(3 b)}^{\frac{2}{2}}}$

Cancel the common factor of $2$ .

Cancel the common factor.

$\frac{\sqrt{5} \sqrt{3 b}}{{(3 b)}^{\frac{2}{2}}}$

Rewrite the expression.

$\frac{\sqrt{5} \sqrt{3 b}}{{(3 b)}^{1}}$

Simplify.

$\frac{\sqrt{5} \sqrt{3 b}}{3 b}$

Simplify the numerator.

Combine using the product rule for radicals.

$\frac{\sqrt{5 (3 b)}}{3 b}$

Multiply $5$ by $3$ .

$\frac{\sqrt{15 b}}{3 b}$